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never [62]
3 years ago
13

Order each list of units from most precise to least precise: gram, centigram,kilogram,milligram

Mathematics
2 answers:
ziro4ka [17]3 years ago
3 0
Centigram, milligram, gram, kilogram
Verdich [7]3 years ago
3 0
Milligram,centigram,gran,kilogram
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What is the following quotient?
seropon [69]

Answer:  Choice B) \frac{5\sqrt{11}+5\sqrt{3}}{8}\\\\

==========================================

Work Shown:

\frac{5}{\sqrt{11}-\sqrt{3}}\\\\\\\frac{5(\sqrt{11}+\sqrt{3})}{(\sqrt{11}-\sqrt{3})(\sqrt{11}+\sqrt{3})}\\\\\\\frac{5\sqrt{11}+5\sqrt{3}}{(\sqrt{11})^2-(\sqrt{3})^2}\\\\\\\frac{5\sqrt{11}+5\sqrt{3}}{11-3}\\\\\\\frac{5\sqrt{11}+5\sqrt{3}}{8}\\\\\\

This shows why choice B is the answer.

---------------

Explanation:

  • In the second step, I multiplied top and bottom by (\sqrt{11}+\sqrt{3})
  • This is so we can apply the difference of squares rule in step 3. The difference of squares rule is (x-y)(x+y) = x^2-y^2.
  • In step 4, the square roots cancel out with the squaring operation. The two operations are inverses of one another, which is why they cancel.

So in general, if the denominator is \sqrt{a}-\sqrt{b} and you want to rationalize the denominator, then you should multiply top and bottom by \sqrt{a}+\sqrt{b}. The same applies in reverse as well.

This leads to the denominator becoming (\sqrt{a}-\sqrt{b})(\sqrt{a}+\sqrt{b}) = (\sqrt{a})^2-(\sqrt{b})^2 = a-b

Keep in mind that a \ge 0 and b \ge 0

4 0
2 years ago
The tape diagram represents an equation.​
boyakko [2]

Answer:

20

Step-by-step explanation:

6p = 120

p = 120/6

p = 20

7 0
3 years ago
Zack has a car. He wants to sell it for 60% off the current price.the market price is $500. How much money would he receive in e
Mariana [72]
Since Zack wants to sell his car for 60% off the current price of $500, he has to multiply 0.60 (60% in decimal form) by $500, which equals $300. Now, the next step is very important. He has to subtract $500 from $300 since $300 is the amount OFF. Once he does that, he will get $200.

- Hope I helped :)

- Learning is beautiful thing and a lifelong journey. 
8 0
3 years ago
In a class of 24 stundents 13 students sold over 150 raffle tickets each and the rest of the class sold about 60 raffle tickets
Lisa [10]
Yes, 13•150=1950 and then 11•60=660 so combined they equal 2610
4 0
3 years ago
F(x)=3/x+2-√x-3 f(19)=​
77julia77 [94]

Answer:

  • - 27/7

Step-by-step explanation:

Given

  • f(x)=3/(x+2) - √(x-3)

To find

  • f(19)

Solution

  • f(19) =​ 3/(19 + 2) - √(19 - 3) = 3/21 - √16 = 1/7 - 4 = - 27/7
3 0
2 years ago
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